Q. 2 C3.7( 3 Votes )

Find the domain of each of the following real valued functions of real variable:


Answer :


We know the square of a real number is never negative.


Clearly, f(x) takes real values only when 9 – x2 ≥ 0


9 ≥ x2


x2 ≤ 9


x2 – 9 ≤ 0


x2 – 32 ≤ 0


(x + 3)(x – 3) ≤ 0


x ≥ –3 and x ≤ 3


x [–3, 3]


Thus, domain of f = [–3, 3]


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Functions - 0568 mins
Trigonometric Functions - 0152 mins
Conditional IdentitiesFREE Class
Trigonometric Functions - 0658 mins
Questions Discussion of BiomoleculesFREE Class
Trigonometric Functions - 0366 mins
Let's Play the Game of Inequalities52 mins
Trigonometric Functions - 0865 mins
Trigonometric Functions - 0760 mins
Master Solving Problems of trigonometry45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses